Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Ulrich Pennig"'
Autor:
David E. Evans, Ulrich Pennig
We prove that each exponential functor on the category of finite-dimensional complex inner product spaces and isomorphisms gives rise to an equivariant higher (ie. non-classical) twist of $K$-theory over $G=SU(n)$. This twist is represented by a Fell
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99e9ada1403f72af35608d4252b3ecc2
Autor:
David E. Evans, Ulrich Pennig
We develop an equivariant Dixmier-Douady theory for locally trivial bundles of $C^*$-algebras with fibre $D \otimes \mathbb{K}$ equipped with a fibrewise $\mathbb{T}$-action, where $\mathbb{T}$ denotes the circle group and $D = \operatorname{End}\lef
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9754c2f7b1600a3b79d37c72a1aa7f2
http://arxiv.org/abs/2201.13364
http://arxiv.org/abs/2201.13364
Autor:
Ulrich Pennig
Publikováno v:
Algebr. Geom. Topol. 20, no. 3 (2020), 1279-1324
Ulrich Pennig
Ulrich Pennig
In this paper we show that each polynomial exponential functor on complex finite-dimensional inner product spaces is defined up to equivalence of monoidal functors by an involutive solution to the Yang-Baxter equation (an involutive $R$-matrix), whic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11ab3ef18241c5c9e9c5ed8f2e600752
https://projecteuclid.org/euclid.agt/1591374780
https://projecteuclid.org/euclid.agt/1591374780
Every unitary involutive solution of the quantum Yang-Baxter equation ("R-matrix") defines an extremal character and a representation of the infinite symmetric group $S_\infty$. We give a complete classification of all such Yang-Baxter characters and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::991fb431b0f8aa5e2b79166e2dcc7041
https://orca.cardiff.ac.uk/id/eprint/124722/7/YBE-Reps-LechnerPennigWood-AiM.pdf
https://orca.cardiff.ac.uk/id/eprint/124722/7/YBE-Reps-LechnerPennigWood-AiM.pdf
Publikováno v:
Bulletin of the London Mathematical Society. 49:23-32
Connectivity is a homotopy invariant property of a separable C*-algebra A which has three important consequences: absence of nontrivial projections, quasidiagonality and realization of the Kasparov group KK(A,B) as homotopy classes of asymptotic morp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14aafcd5e0c016dbbdabadd760c4e503
https://doi.org/10.1112/blms.12008
https://doi.org/10.1112/blms.12008
Autor:
Ulrich Pennig, Marius Dadarlat
Publikováno v:
Mathematische Annalen. 367:121-134
The homotopy symmetric $C^*$-algebras are those separable $C^*$-algebras for which one can unsuspend in E-theory. We find a new simple condition that characterizes homotopy symmetric nuclear $C^*$-algebras and use it to show that the property of bein
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c476135768d8d47ec3aafcfaa153f852
https://doi.org/10.1007/s00208-016-1379-0
https://doi.org/10.1007/s00208-016-1379-0
Autor:
Ulrich Pennig, Samuel Evington
We prove that a tracially continuous W$^*$-bundle $\mathcal{M}$ over a compact Hausdorff space $X$ with all fibres isomorphic to the hyperfinite II$_1$-factor $\mathcal{R}$ that is locally trivial already has to be globally trivial. The proof uses th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3501bf72c60d488f25da3d6392e7a1a3
https://eprints.gla.ac.uk/124478/1/124478.pdf
https://eprints.gla.ac.uk/124478/1/124478.pdf
Autor:
Ralf Meyer, Ulrich Pennig
We lift an action of a torus $\mathbb{T}^n$ on the spectrum of a continuous trace algebra to an action of a certain crossed module of Lie groups that is an extension of $\mathbb{R}^n$. We compute equivariant Brauer and Picard groups for this crossed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8dacb58782b0241b7aee707775dd319c
Autor:
Ulrich Pennig, Marius Dadarlat
Connectivity is a homotopy invariant property of separable C*-algebras which has three notable consequences: absence of nontrivial projections, quasidiagonality and a more geometric realization of KK-theory for nuclear C*-algebras using asymptotic mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::884c5fac2276008eac62ba3d5d2978a5
Autor:
Ulrich Pennig
We develop a operator algebraic model for twisted $K$-theory, which includes the most general twistings as a generalized cohomology theory (i.e. all those classified by the unit spectrum $bgl_1(KU)$). Our model is based on strongly self-absorbing $C^
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2ae9b84c02c66eeadf44d679e35bf0b
http://arxiv.org/abs/1502.02807
http://arxiv.org/abs/1502.02807